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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2011-4pp.463-471

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A.V. Vasilenko and N.N. Rogacheva, "The effective characteristics and electroelastic state of active composite elements," J. Appl. Math. Mech. 75 (4), 463-471 (2011)
Year 2011 Volume 75 Issue 4 Pages 463-471
Title The effective characteristics and electroelastic state of active composite elements
Author(s) A.V. Vasilenko (Moscow, Russia)
N.N. Rogacheva (Moscow, Russia, nrogache@yandex.ru)
Abstract For rods in which the piezoelectric and elastic layers are perpendicular to the rod axis and the lamination has a periodic structure, formulae for the effective characteristics of inhomogeneous material are obtained and the equations that describe the electroelastic state are constructed by the asymptotic method of homogenization. Such active composite elements are known as stacks. As an example, the electroelastic state of stacks executing forced harmonic vibrations under the action of an electrical load is calculated, the effective characteristics of material are found, and both the slowly varying state described by the rod theory and the rapidly varying state caused by the inhomogeneity of the layered structure are calculated. The effect of the thickness of weak adhesive layers on the electromechanical coupling coefficient, characterizing the stacks as energy convertors, is investigated.
Received 27 January 2009
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